5x+18=7x+6(3x-7)

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Solution for 5x+18=7x+6(3x-7) equation:


Simplifying
5x + 18 = 7x + 6(3x + -7)

Reorder the terms:
18 + 5x = 7x + 6(3x + -7)

Reorder the terms:
18 + 5x = 7x + 6(-7 + 3x)
18 + 5x = 7x + (-7 * 6 + 3x * 6)
18 + 5x = 7x + (-42 + 18x)

Reorder the terms:
18 + 5x = -42 + 7x + 18x

Combine like terms: 7x + 18x = 25x
18 + 5x = -42 + 25x

Solving
18 + 5x = -42 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.
18 + 5x + -25x = -42 + 25x + -25x

Combine like terms: 5x + -25x = -20x
18 + -20x = -42 + 25x + -25x

Combine like terms: 25x + -25x = 0
18 + -20x = -42 + 0
18 + -20x = -42

Add '-18' to each side of the equation.
18 + -18 + -20x = -42 + -18

Combine like terms: 18 + -18 = 0
0 + -20x = -42 + -18
-20x = -42 + -18

Combine like terms: -42 + -18 = -60
-20x = -60

Divide each side by '-20'.
x = 3

Simplifying
x = 3

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